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Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy. (English) Zbl 0843.35133
Authors’ abstract: “We consider the Schrödinger operator in \(\mathbb{R}^n\), \(n\geq 3\), with electric and magnetic potentials which decay exponentially as \(|x|\to \infty\). We show that the scattering amplitude at fixed positive energy determines the electric potential and the magnetic field”.

MSC:
35R30 Inverse problems for PDEs
81U40 Inverse scattering problems in quantum theory
35P25 Scattering theory for PDEs
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